One of the sharp corners of a right triangle is 2 times the size of the other. Find these corners.

From the condition, we know that one acute angle of a right-angled triangle is 2 times larger than the other.

In order to find the larger acute angle of a triangle, let’s recall the theorem on the sum of the angles of a triangle.

The angles of a triangle add up to 180 °.

In a right-angled triangle, one angle is 90 °, the second angle is denoted by the variable x, and the third is written as 2x.

Let’s compose and solve the equation:

x + 2x + 90 = 180;

3x = 180 – 90;

3x = 90;

x = 90: 3;

x = 30 °;

One of the acute angles is 30 °; and the second 30 ° * 2 = 60 °.